Random Iteration Of Rational Functions
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Random Iteration Of Rational Functions
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Author : David Simmons
language : en
Publisher:
Release Date : 2012
Random Iteration Of Rational Functions written by David Simmons and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Functions categories.
Fractal Geometry And Applications A Jubilee Of Benoit Mandelbrot
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Author : Michel Laurent Lapidus
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Fractal Geometry And Applications A Jubilee Of Benoit Mandelbrot written by Michel Laurent Lapidus and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.
Selected Papers On Analysis And Differential Equations
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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Selected Papers On Analysis And Differential Equations written by American Mathematical Society and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
"Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."
Distance Expanding Random Mappings Thermodynamical Formalism Gibbs Measures And Fractal Geometry
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Author : Volker Mayer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-26
Distance Expanding Random Mappings Thermodynamical Formalism Gibbs Measures And Fractal Geometry written by Volker Mayer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-26 with Mathematics categories.
The theory of random dynamical systems originated from stochastic differential equations. It is intended to provide a framework and techniques to describe and analyze the evolution of dynamical systems when the input and output data are known only approximately, according to some probability distribution. The development of this field, in both the theory and applications, has gone in many directions. In this manuscript we introduce measurable expanding random dynamical systems, develop the thermodynamical formalism and establish, in particular, the exponential decay of correlations and analyticity of the expected pressure although the spectral gap property does not hold. This theory is then used to investigate fractal properties of conformal random systems. We prove a Bowen’s formula and develop the multifractal formalism of the Gibbs states. Depending on the behavior of the Birkhoff sums of the pressure function we arrive at a natural classification of the systems into two classes: quasi-deterministic systems, which share many properties of deterministic ones; and essentially random systems, which are rather generic and never bi-Lipschitz equivalent to deterministic systems. We show that in the essentially random case the Hausdorff measure vanishes, which refutes a conjecture by Bogenschutz and Ochs. Lastly, we present applications of our results to various specific conformal random systems and positively answer a question posed by Bruck and Buger concerning the Hausdorff dimension of quadratic random Julia sets.
Recent Developments In Fractal Geometry And Dynamical Systems
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Author : Sangita Jha
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-18
Recent Developments In Fractal Geometry And Dynamical Systems written by Sangita Jha and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-18 with Mathematics categories.
This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14–15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.
Random Iteration Of Rational Functions
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Author : Simmons David
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-01
Random Iteration Of Rational Functions written by Simmons David and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01 with categories.
The goal of this book is to study the ergodic theory of holomorphic random dynamical systems on the Riemann sphere. Specifically, the main results are two generalizations of a theorem of Denker and Urba ski ('91) concerning existence and uniqueness of equilibrium states of rational functions with respect to Holder continuous potential functions satisfying a "pressure gap" condition. The main results also generalize a theorem of Jonsson ('00).
Combinatorics And Finite Fields
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Author : Kai-Uwe Schmidt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08
Combinatorics And Finite Fields written by Kai-Uwe Schmidt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
Real Methods In Complex And Cr Geometry
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Author : John Erik Fornaess
language : en
Publisher: Springer Science & Business Media
Release Date : 2004
Real Methods In Complex And Cr Geometry written by John Erik Fornaess and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with CR submanifolds categories.
Journal Of Mathematics Of Kyoto University
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Author : Kyōto Daigaku
language : en
Publisher:
Release Date : 1961
Journal Of Mathematics Of Kyoto University written by Kyōto Daigaku and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Mathematics categories.
Pacific Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 2001-03
Pacific Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03 with Mathematics categories.